See the attached file for questioins
Thehonest
1.docFind
dx
dy
ifFind an equation to the tangent line to the graph of
We are given the graphs of
f
andg
below. Find(
)
(
)
1
/
f
g
o
, i.e. the derivative off
g
o
at 1.Find the differential of
(
)
3
1
2
2
/
x
x
y
+
+
=
. Find(
)
x
T
y
=
, an equation of the tangent line to the graph ofTwo cars start moving from the same point. One travels east at a constant rate of 60 miles per hour and the other travels north at a constant rate of 70 miles per hour. Find the rate at which the distance between the cars is changing 1 hour later. You may round your answer to two digits after the decimal sign.
we can draw the following figure.
Find an equation of the tangent line to the graph of
(
)
(
)
2
2
2
2
2
25
2
y
x
y
x
-
=
+
Use Newton’s method to find the solution of
0
6
5
2
3
=
-
+
x
x
by using the following steps
Find,
(
)
0
f
where(
)
6
5
2
3
-
+
=
x
x
x
f
Find,
(
)
1
f
where(
)
6
5
2
3
-
+
=
x
x
x
f
Choose a guess point
0
x
Perform the iterations, until the values stabilize to the 8-dgits after the decimal sign.
